3-(x-2)=5x+2

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Solution for 3-(x-2)=5x+2 equation:


Simplifying
3 + -1(x + -2) = 5x + 2

Reorder the terms:
3 + -1(-2 + x) = 5x + 2
3 + (-2 * -1 + x * -1) = 5x + 2
3 + (2 + -1x) = 5x + 2

Combine like terms: 3 + 2 = 5
5 + -1x = 5x + 2

Reorder the terms:
5 + -1x = 2 + 5x

Solving
5 + -1x = 2 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
5 + -1x + -5x = 2 + 5x + -5x

Combine like terms: -1x + -5x = -6x
5 + -6x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -6x = 2 + 0
5 + -6x = 2

Add '-5' to each side of the equation.
5 + -5 + -6x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 2 + -5
-6x = 2 + -5

Combine like terms: 2 + -5 = -3
-6x = -3

Divide each side by '-6'.
x = 0.5

Simplifying
x = 0.5

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